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Jacobi Dynamics - Many-Body Problem in Integral Characteristics (Paperback, Softcover reprint of the original 1st ed. 1987)
Loot Price: R5,881
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Jacobi Dynamics - Many-Body Problem in Integral Characteristics (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Astrophysics and Space Science Library, 130
Expected to ship within 10 - 15 working days
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Total price: R5,901
Discovery Miles: 59 010
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This book sets forth and builds upon the fundamentals of the
dynamics of natural systems in formulating the problem presented by
Jacobi in his famous lecture series "Vorlesungen tiber Dynamik"
(Jacobi, 1884). In the dynamics of systems described by models of
discrete and continuous media, the many-body problem is usually
solved in some approximation, or the behaviour of the medium is
studied at each point of the space it occupies. Such an approach
requires the system of equations of motion to be written in terms
of space co-ordinates and velocities, in which case the
requirements of an internal observer for a detailed description of
the processes are satisfied. In the dynamics discussed here we
study the time behaviour of the fundamental integral
characteristics of the physical system, i. e. the Jacobi function
(moment of inertia) and energy (potential, kinetic and total),
which are functions of mass density distribution, and the structure
of a system. This approach satisfies the requirements of an
external observer. It is designed to solve the problem of global
dynamics and the evolution of natural systems in which the motion
of the system's individual elements written in space co-ordinates
and velocities is of no interest. It is important to note that an
integral approach is made to internal and external interactions of
a system which results in radiation and absorption of energy. This
effect constitutes the basic physical content of global dynamics
and the evolution of natural systems.
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